In the number 6,834, the digit 6 is in the thousands place, which means its value is 6000. This is determined by its position within the number.

To simplify 3/6, divide both the numerator and denominator by 3 to get 1/2. This shows that 1/2 is equivalent to 3/6.

Multiplying 7 by 8 gives 56. This is a basic multiplication fact that is essential in 5th grade math.

Dividing 75 by 5 yields 15 because 5 multiplied by 15 equals 75. This division fact is fundamental to understanding division operations.

Adding 125 and 375 results in 500. This simple addition problem reinforces basic arithmetic skills.

To find 3/4 of 20, multiply 20 by 3/4, which equals 15. This calculation uses fraction multiplication to determine a part of a whole.

Both the numerator and denominator of 12/16 can be divided by 4, which simplifies the fraction to 3/4. This demonstrates the process of reducing fractions to their simplest form.

Dividing 1 by 4 gives 0.25, which is the decimal equivalent of 1/4. This conversion reinforces understanding of fractions and decimals.

Subtracting 15 from 45 gives 30, and adding 5 results in 35. This problem tests the ability to perform sequential arithmetic operations.

The area of a rectangle is found by multiplying the length by the width. With a length of 8 and a width of 3, the area is 8 x 3 = 24.

The perimeter of a rectangle is calculated as 2*(length + width). Setting up the equation: 2*(8 + width) = 26 leads to width = 5.

To find the original number, multiply the quotient by the divisor. Since 7 multiplied by 3 equals 21, the number is 21.

Dividing 3 by 4 results in 0.75, making the fraction 3/4 equivalent to the decimal 0.75. This conversion is a common concept in 5th grade math.

Multiplying 0.5 by 14 is the same as finding half of 14, which is 7. This tests understanding of decimal multiplication.

A prime number has only two distinct positive divisors: 1 and itself. Among the options provided, 29 is the only prime number.

The baker uses 3/4 cup of sugar per cake, so for 3 cakes she needs 3 times 3/4 cup, which equals 9/4 cups or 2 1/4 cups. This problem reinforces multiplying fractions by whole numbers.

To find the amount sold, multiply the total harvest (3/4 ton) by the fraction sold (2/3). The multiplication results in 6/12, which simplifies to 1/2 ton.

To determine the number of girls, multiply 24 by 2/3. The calculation yields 16, which is the number of girls in the class.

To solve for x, divide both sides of the equation by 8. Since 56 divided by 8 equals 7, the solution is x = 7.

Let the width be w; then the length is 2w. Using the perimeter formula 2(w + 2w) = 36, we find w = 6 and the length = 12, thus the area is 6 x 12 = 72 square units.